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Finding the Fourth Proportional to 348.82, 522.78 and 312.06

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Solution

The fourth proportional to 348.82, 522.78 and 312.06 is: 467.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.82 : 522.78 = 312.06 : x
  2. Step 2: Convert to fraction form
    348.82/522.78 = 312.06/x
  3. Step 3: Cross multiply
    348.82x = 522.78 × 312.06
  4. Step 4: Simplify right side
    348.82x = 163,138.73
  5. Step 5: Solve for x
    x = 163,138.73/348.82
  6. Step 6: Final answer
    x = 467.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.